Question 43

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:
I. Some cars are white.
II. Some locks are white.

Conclusions:
I. All white are locks.
II. No car is a lock.
III. All locks are cars.

Solution

Conclusion: I. All white are locks.

We cannot conclude the relation of 'all' between 'white' and 'locks' as per the above venn diagram. So the given conclusion does not follow.

Conclusion: II. No car is a lock.

We cannot conclude the 'negative' relation between 'car' and 'lock' as per the above venn diagram. So the given conclusion does not follow.

Conclusion: III. All locks are cars.

We cannot conclude the relation of 'all' between 'locks' and 'cars' as per the above venn diagram. So the given conclusion does not follow.

Hence none of the conclusions follow.


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